What is the inverse of f(x)=(3x+2)/(5x-3) ?

The inverse of f(x)=(3x+2)/(5x-3) is (2+3x)/(5x-3)

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inverse of f(x)=(3x+2)/(5x-3)

inverse

f (x) = \frac{3 x + 2}{5 x - 3}

\frac{2 + 3 x}{5 x - 3}

Solution steps

y = \frac{3 x + 2}{5 x - 3}

Replace

x

with

y

x = \frac{3 y + 2}{5 y - 3}

Solve for

y, x = \frac{3 y + 2}{5 y - 3}

\frac{2 + 3 x}{5 x - 3}

\frac{2 + 4 x}{- 4 - 5 x}

y = \frac{( 3 x - 7 )}{( 9 x + 1 )}

z^{- 1} (\frac{2 z}{( z - 2 ) ^{2}})

y = \frac{x}{x + 6}

\frac{1}{2} - e^{1 - \frac{1}{2} x}

What is the inverse of f(x)=(3x+2)/(5x-3) ?
The inverse of f(x)=(3x+2)/(5x-3) is (2+3x)/(5x-3)